Finding the Fourth Proportional to 2,082.31, 2,874.50 and 1,382.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.31 : 2,874.50 = 1,382.47 : x
2. Step 2: Convert to fraction form
   2,082.31/2,874.50 = 1,382.47/x
3. Step 3: Cross multiply
   2,082.31x = 2,874.50 × 1,382.47
4. Step 4: Simplify right side
   2,082.31x = 3,973,910.02
5. Step 5: Solve for x
   x = 3,973,910.02/2,082.31
6. Step 6: Final answer
   x = 1,908.41